A control apparatus of a premixed charge compression ignition engine that includes an engine body having a cylinder and intake and exhaust passages, and causes a mixture gas to self-ignite inside the cylinder is provided. The apparatus includes a fuel injector for injecting fuel into the cylinder, a water injector for injecting supercritical water or subcritical water into the cylinder, an EGR passage for communicating the exhaust and intake passages and recirculating, as EGR gas, a portion of an exhaust gas discharged from the cylinder to the intake passage, an EGR valve for adjusting an EGR gas recirculation amount, and a controller. The controller includes an engine load determining module for receiving a parameter and determining whether an engine operating state is a first state where the engine load is below a switch load or a second state where the engine load is the switch load or above.